Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1530o |
Isogeny class |
Conductor |
1530 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-603926491299840 = -1 · 218 · 313 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24062,-1854579] |
[a1,a2,a3,a4,a6] |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
3.3842984431181 |
L(r)(E,1)/r! |
Ω |
0.18801658017323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12240bz1 48960bl1 510a1 7650x1 |
Quadratic twists by: -4 8 -3 5 |